4112493120 has 588 divisors, whose sum is σ = 15852771444. Its totient is φ = 1015234560.

The previous prime is 4112493089. The next prime is 4112493149. The reversal of 4112493120 is 213942114.

It is a happy number.

4112493120 is a `hidden beast` number, since 41 + 12 + 493 + 120 = 666.

4112493120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24681024 + 4087812096 = 4968^2 + 63936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 67417890 + ... + 67417950.

Almost surely, 2^4112493120 is an apocalyptic number.

4112493120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926385722).

4112493120 is an abundant number, since it is smaller than the sum of its proper divisors (11740278324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4112493120 is an equidigital number, since it uses as much as digits as its factorization.

4112493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4112493120 is about 64128.7230498160. The cubic root of 4112493120 is about 1602.1446656380.

The spelling of 4112493120 in words is "four billion, one hundred twelve million, four hundred ninety-three thousand, one hundred twenty".